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Abstract: Standard entropy calculations in quantum field theory, when applied to asubsystem of definite volume, exhibit area-dependent UV divergences that make athermodynamic interpretation troublesome. In this paper we define arenormalized entropy which is related with the Newton-Wigner position operator.Accordingly, whenever we trace over a region of space, we trace away degrees offreedom that are localized according to Newton-Wigner localization but not inthe usual sense. We consider a free scalar field in d+1 spacetime dimensionsprepared in a thermal state and we show that our entropy is free of divergencesand has a perfectly sound thermodynamic behavior. In the high temperature-bigvolume limit our results agree with the standard QFT calculations once thedivergent contributions are subtracted from the latter. In the limit of lowtemperature-small volume the entropy goes to zero but with a differentdependence on the temperature.

Autor: Sergio Cacciatori, Fabio Costa, Federico Piazza


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